126541322323020 has 288 divisors, whose sum is σ = 448751952230400. Its totient is φ = 28549863175680.

The previous prime is 126541322322991. The next prime is 126541322323021. The reversal of 126541322323020 is 20323223145621.

126541322323020 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 4 + 1 + 322 + 323 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (126541322323021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35864820 + ... + 39234779.

It is an arithmetic number, because the mean of its divisors is an integer number (1558166500800).

Almost surely, 2^{126541322323020} is an apocalyptic number.

126541322323020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126541322323020 is an abundant number, since it is smaller than the sum of its proper divisors (322210629907380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126541322323020 is a wasteful number, since it uses less digits than its factorization.

126541322323020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75099685 (or 75099680 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 126541322323020 its reverse (20323223145621), we get a palindrome (146864545468641).

The spelling of 126541322323020 in words is "one hundred twenty-six trillion, five hundred forty-one billion, three hundred twenty-two million, three hundred twenty-three thousand, twenty".